As described in recon:citadl, the algorithm calculates negative log likelihoods for the electron, pion, kaon, and proton hypothesis for each PWC track. By cutting on differences between the different particle hypotheses, we enforce particle identification.
Kaon identificationKaon identification is straightforward. Since
most of the particles produced in target interactions are electrons or pions,
we cut on the difference between the kaon and pion hypothesis. (This implies
an effective cut on kaon vs. electron since for real kaons, the kaon hypothesis
should be closer to the hypothesis than the electron hypothesis.) The
cut variable is which is defined as
.
We
usually require positive values for , meaning that the kaon hypothesis is
favored over the pion hypothesis.
Proton identificationProton identification is a little more
complex. For we place a strong cut on the variable , defined similarly
to . We also place a weaker cut on to remove background from the
decays and where the proton is misidentified as a kaon.
Typical cut values are
and
.
Pion identificationTo identify pions, we use a cut called
(pion consistency). This cut determines how likely the pion hypothesis is
compared to the other hypotheses. The definition of is
| (12) |